Stability analysis of neutral-type stochastic delayed neural networks with Markov switching

Xiaohan Nan , Mengdie Li , Xiaoqi Sun

Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (2) : 1095 -1123.

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Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (2) :1095 -1123. DOI: 10.3934/era.2026051
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Stability analysis of neutral-type stochastic delayed neural networks with Markov switching
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Abstract

This paper investigated the stability of a class of neutral-type stochastic delayed neural networks with Markov switching. Under a general decay rate and weaker conditions on the neutral term, sufficient conditions for stability in the p-th moment, almost sure stability, and actual stability were established by constructing appropriate Lyapunov functions and applying the nonnegative semimartingale convergence theorem. The theoretical analysis was validated via MATLAB simulations using the Euler-Maruyama method.

Keywords

neutral stochastic delayed neural networks / p-th moment stability / Markov switching / general decay / Lyapunov function

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Xiaohan Nan, Mengdie Li, Xiaoqi Sun. Stability analysis of neutral-type stochastic delayed neural networks with Markov switching. Electronic Research Archive, 2026, 34 (2) : 1095-1123 DOI:10.3934/era.2026051

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